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2 is what percent of 50
Charges made by two companies for the same A/C Company XCompany Y Price$575$530 Surcharge as a Percent of Price4%3% Installation Charge$82.50$93.00 The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 188 votes. Find the total number of valid votes?
Joe had $525,420 in his bank account but he donated 7% of it to charity. How much does Joe have in his bank account now?
If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following formula: S = n(n + 1)/2. Which one of the following statements about S must be true?
If 4x+y+z=80, 2x-y-z=400,3x+y-z = 20 for integers of x,y and z, find x =?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
A reading list for a certain course consists of 10 books, of which 6 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Tough and Tricky questions: Functions. Let a be a positive integer. Let n#a equal n^(2a) if a is odd and n^(a) if a is even. Then (2#3) + (3#2) – (3#3) is equal to
Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 20 Km/hr. Find her average speed during the whole journey?
Rahul went to a shop and bought things worth Rs. 23, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Find the SI on Rs.2400 for 8yrs 4 months at 6% per annum rate of interest ?
The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people B who purchased only book A?
65 bags of nuts are to be divided among 13 students. Each bag contains 15 nuts. How many nuts will each student receive?
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum W of their ages will be 51, how old is Stephanie ?
If a 5-digit numerical with local value of digits 3 is 300, 4 is 40000, 5 is 50, 6 is 6 and 7 is 7000, is multiplied by 7 then the difference between local value of 4 in the new numerical and the face value of 3 is
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
6 friends are living in 6 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 6 parking spots. In how many ways can they park their cars so that exactly 4 people park their cars in the spots allotted to them?
Which of the following is not the square of an integer?
Rary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
three men invested sum. and their ratio is 5:7:6. profit is 5400.then b's share
One woman and one man can build a wall together in four hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them eight hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 424 different signs. If the company used 422 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 424 signs?
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
Look at this series: 201, 202, 204, 207, ... What number should come next?
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability W that out of the two, one is white and one is blue?
The second angle of a triangle is double the first(110). The third angle is 40 less than the first(15). Find the first angle.
If six persons sit in a row, then the probability that three particular persons are always together is
In how many ways the letters of the word MOUSE be arranged?
find the number, difference between number and its 3/5 is 58.
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 9 hours and 16 hours after they passed each other the ratio of the speeds of the two trains was
Excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour?
The sum of the first 70 positive even integers is 4,970. What is the sum of the first 70 odd integers?
A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 11:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/6 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $620 (before payroll deductions)?
The three competitors in a race have to be randomly chosen from a group of four men and five women. How many different such trios contain at least one woman?
Find the face value of 5 in 5432100
An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible?
In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for?
if 5xx+14x+k=0 having two reciprocal roots find the value of k.
If, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 Then find, 5 * 7 * 10 =?
A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, and 4, how many palindromes are possible?
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
f the LCM of two integers a, b (where b> a and a>1) is a*b, then which of the following can not be true?
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Which of the following numbers doesn't belong to the group?
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 10,290,000, how many red beads were removed?
By selling an article at Rs.700, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
If the area of circle is 706 sq cm then its circumference?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 54 seconds. What is the length of each train (in meters)?
Which of the following fractions is greater than 3/4 and less than 5/6? 1. 3/4 2. 5/6 3. 1/2 4. 2/3 5. 4/5 6. 9/10
Find the sum of prime numbers lying between 58 and 72?
If a and b are different positive integers and a + b = ab(a + b), then which of the following must be true? I. a = 1 II. b = 1 III. a < b
A car travels uphill at 30 km/hr and downhill at 50 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
A circle passes through two adjacent vertices of a square and is tangent to one side of the square. If the side length of the square is 2, what is the radius of the circle?
n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1800, then what is the smallest possible value of n?
One hour after Yolanda started walking from X to Y, a distance of 80 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 8 miles per hour and Bobâs was 9 miles per hour, how many miles had Bob walked when they met?
Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 33 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy? I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?
What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1.
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 3000 Km?
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
55th word of SHUVANK in dictionary??
If the price of a book is first decreased by 25% and then increased by 20%, then the decrease in the price will be?
A person covers a distance in 21 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Barbara has 10 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 960gm. for a kg.His gain is …%.
The average age of a group of persons going for picnic is 16 years. Twelve new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
What percent is 36 paisa's of 12 rupees?
9C2 + 9C3 +10C4=?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
In 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each, how many pumps will raise 2030 tons of water in 12 days of 11 hrs each?
In the City 45% of the population lived in the East at the Beginning of the Year and the rest of the City lived in the West. During the Same Year, the population of City grew by 5.0%. If the population in the West grew by 2.5%, by how much did the population grow in the remaining side?
What is the difference between the C.I. on Rs. 7000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m^3) is:
Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
The average age of 20 students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age?
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 108. What was the number he chose?
140 college students were asked in a survey if they preferred Windows or Mac brand computers. 80 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 50 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
If n is a positive integer such that n!/(n-2)! = 342, find n.
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares?
A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
The radius of a cone is 49 m, slant height is 35 m. Find the curved surface area?
Amit Kumar invested an amount of 15,000 at compound interest rate of 10 pcpa for a period of two years. What amount will he receive at the end of two years?
At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling "rock on!", what are the chances that the next person who yells "rock on!" will be a geek?
The product of n^2 consecutive positive integers is always divisible by
If a boat goes 5km upstream in 25 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is ?
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6, 7 and 8 such that the numbers are divisible by 9?
Write 450,000,000,000 in scientific notation.
The Racing magic takes 60 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?

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